Regularization for parameter identification using multi-objective optimization

Studies in Computational Intelligence

Volumn 16, Issue , 2006, Pages 125-149

  Furukawa, Tomonari ^a   Lee, Chen Jian Ken ^b   Michopoulos, John G ^c  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

^b KEIO UNIVERSITY   (Japan)

^c NAVAL RESEARCH LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33751334178     PISSN: 1860949X     EISSN: None     Source Type: Book Series    
DOI: 10.1007/11399346_6     Document Type: Article

References (33)

1. M. Aoki. Introduction to Optimizaion Techniques; fundamentals and applications of nonlinear programming. Macmillian, 1971 136
2. T. Bäck, H.-P. Schwefel. Evol Comp, 1(1):1-23, 1993 127
3. Y. Bard. Nonlinear Parameter Estimation. Academic Press, New York, 1974 126
4. J. Baumeister. Stable Solution of Inverse Problems. Vieweg, Braunschweig, 1987 126
5. C.A. Coello. Int J Knowl Info Sys, 1(1):1-25, 1999 126
6. J.L. Chaboche. Int J Plast, 5:247-254, 1989 145
7. K. De Jong. An Analysis of the Behaviour of a Class of Genetic Adaptive Systems. Ph.D Thesis, University of Michigan, 1975 141
8. C.M. Fonseca, P.J. Fleming PJ. Genetic Algorithms for Multi-objective Optimisation: Formulation, Discussion and Generalisation. In: Forrest S (ed)., Proceedings of the Fifth International Conference on Genetic Algorithms, Morgan Kaufmann, San Mateo, CA, 416-423, 1993 126
9. C.M. Fonseca, P.J. Fleming. Evol Comp, 3(1):1-16, 1995 126
10. T. Furukawa, G. Yagawa. Int J Numer Meth Eng, 40:1071-1090, 1997 145
11. T. Furukawa, G. Yagawa. Int J Numer Meth Eng, 43:195-219, 1998 145
12. T. Furukawa. Int J Numer Meth Eng, 52:219-238, 2001 127, 139
13. D. Goldberg. Genetic Algorithms in Search, Optimization and Machine Learning. Addison-Wesley, Reading, MA, 1989 126, 134
14. C.W. Groetsche. The Theory of Tikhonov Regularization for Fredholm Integral Equation of the First Kind. Pitman, Boston, 1984 126
15. P.C. Hansen. SIAM Review 34(4):561-580, 1992 126
16. F. Hoffmeister, T. Bäck. Genetic Algorithms and Evolution Strategies: Similarities and Differences. Technical Report, University of Dortmund, Germany, Sys-1/92, 1992 127
17. J.H. Holland. Adaptation in Natural and Artificial Systems. The University of Michigan Press, Michigan, 1975 132, 133
18. Y. Honjo, N. Kudo. Matching Objective and Subjective Information in Geotechnical Inverse Analysis Based on Entropy Minimization. In: Tanaka M, Dulikravich GS (eds). Inverse Problems in Engineering Mechanics, Elsevier Science, 263-271, 1998 126
19. T. Kitagawa. Jap J Appl Math, 4:371-379, 1987 126
20. T. Kitagawa. J Info Proc, 11:263-270, 1988 126
21. T. Kitagawa. Methods in Estimating the Optimal Regularization Parameters. In: Yamaguti M (ed), Inverse Problems in Mathematical Engineering, Springer Verlag, 37-42, 1991 126
22. T. Kitagawa. A Comparison between Two Classes of the Method for the Optimal Regularization. In: Kubo S (ed) Inverse Problems, Atlanta Technology Publications, 25-35, 1992 126
23. S. Kubo. Inverse Problems, Baifu-kan (in Japanese), 1993 125
24. S. Kubo, T. Takahashi, K. Ohji. Characterization of the Tikhonov Regularization for Numerical Analysis of Inverse Boundary Value Problems by Using the Singular Value Decomposition. In: Tanaka M, Dulikravich GS (eds), Inverse Problems in Engineering Mechanics, 337-344, 1998 126
25. H.P. Kunzi, H.G. Tzschach, C.A. Zehnder. Numerical Methods of Mathematical Optimization. Academic Press, New York, 1971 126
26. C.J.K. Lee, T. Furukawa, S. Yoshimura. Int J Numer Meth Eng, 2005 (in print) 127
27. R. Mahnken, E. Stein. Gradient-based Methods for Parameter Identification of Viscoplastic Materials. In: Bui T, Tanaka M (eds), Inverse Problems in Engineering Mechanics, 137-144, 1994 126
28. V.A. Morozov. Methods for Solving Incorrectly Posed Problems. Springer-Verlag, New York, 1984 126
29. P.Y. Papalambros, D.J. Wilde. Principles of Optimal Design. Cambridge University Press, 2000 135
30. W.H. Press, B.P. Flannery, S.A. Teukolsky, W.T. Vetterling. Numerical Recipes in C. Cambridge University Press, 1988 126
31. T. Reginska. SIAM J Sci Comp, 17:740-749, 1996 126
32. A.N. Tikhonov, V.Y. Arsenin. Solutions to Ill-posed Problems. John Willy Sons, New York, 1977 129
33. X. Zhang, J. Zhu. An Efficient Numerical Algorithm with Adaptive Regularization for Parameter Estimations. In: Tanaka M, Dulikravich GS (eds), Inverse Problems in Engineering Mechanics, Elsevier Science 299-308, 1998 126